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Finding the Fourth Proportional to 572.28, 857.04 and 311.63

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Solution

The fourth proportional to 572.28, 857.04 and 311.63 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.28 : 857.04 = 311.63 : x
  2. Step 2: Convert to fraction form
    572.28/857.04 = 311.63/x
  3. Step 3: Cross multiply
    572.28x = 857.04 × 311.63
  4. Step 4: Simplify right side
    572.28x = 267,079.38
  5. Step 5: Solve for x
    x = 267,079.38/572.28
  6. Step 6: Final answer
    x = 466.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.